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dc.contributor.authorCanalias Vila, Elisabet
dc.contributor.authorMasdemont Soler, Josep
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.description.abstractIn this paper a method for finding homoclinic and heteroclinic connections between Lyapunov orbits using invariant manifolds in a given energy surface of the planar restricted circular three body problem is developed. Moreover, the systematic application of this method to a range of Jacobi constants provides a classification of the connections in bifurcation families. The models used correspond to the Sun-Earth+Moon and the Earth-Moon cases.
dc.format.extent19 pages
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject.lcshNonlinear Dynamics
dc.subject.lcshDifferentiable dynamical systems
dc.subject.lcshDifferential equations
dc.subject.otherRestricted three body problem
dc.subject.otherLyapunov orbits
dc.subject.otherinvariant manifolds
dc.subject.otherHomoclinic and heteroclinic orbits
dc.subject.otherLow energy transfers
dc.titleHomoclinic and heteroclinic transfer trajectories between Lyapunov orbits in the Sun-Earth and Earth-Moon systems
dc.subject.lemacPartícules (Física nuclear)
dc.subject.lemacSistemes dinàmics diferenciables
dc.subject.lemacTeoria ergòdica
dc.subject.lemacEquacions diferencials ordinàries
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::34 Ordinary differential equations::34C Qualitative theory
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37D Dynamical systems with hyperbolic behavior
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37N Applications
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics
dc.rights.accessOpen Access

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Except where otherwise noted, content on this work is licensed under a Creative Commons license: Attribution-NonCommercial-NoDerivs 2.5 Spain